Problema Solution

One angle of a parallelogram is 23 degrees less than 6 times the measure of the angle next to it. The sum of the measures of the anlges is 180 degrees. Find the measure of the adjacent angles of the parallelograms.

Answer provided by our tutors

suppose one angle = x and second is y

y = 6x - 23

we also know that these angles are supplementary

x + 6x -23 = 180

7x = 180+23 = 203

x = 203/7

x = 29

so y = 6*29 - 23 = 151

 

adjacent angles are 29 and 151